Properties

Label 32276.a
Number of curves 1
Conductor 32276
CM no
Rank 3

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Show commands for: SageMath

sage: E = EllipticCurve("32276.a1")
sage: E.isogeny_class()

Elliptic curves in class 32276.a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
32276.a1 32276b1 [0, 1, 0, -17, 16] 1 5136 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 32276.a1 has rank \(3\).

Modular form None

sage: E.q_eigenform(10)
\( q - 2q^{3} - 3q^{5} - 4q^{7} + q^{9} - 6q^{11} - 5q^{13} + 6q^{15} - 2q^{17} + O(q^{20}) \)